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Finding the Fourth Proportional to 156,475.66, 215,936.52 and 84,855.66

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Solution

The fourth proportional to 156,475.66, 215,936.52 and 84,855.66 is: 117,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,475.66 : 215,936.52 = 84,855.66 : x
  2. Step 2: Convert to fraction form
    156,475.66/215,936.52 = 84,855.66/x
  3. Step 3: Cross multiply
    156,475.66x = 215,936.52 × 84,855.66
  4. Step 4: Simplify right side
    156,475.66x = 18,323,435,922.70
  5. Step 5: Solve for x
    x = 18,323,435,922.70/156,475.66
  6. Step 6: Final answer
    x = 117,100.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.